Blumberg, Andrew J.; Mandell, Michael A. The eigensplitting of the fiber of the cyclotomic trace for the sphere spectrum. (English) Zbl 07662359 Trans. Am. Math. Soc. 376, No. 4, 2853-2874 (2023). MSC: 19D10 19D55 19F05 PDFBibTeX XMLCite \textit{A. J. Blumberg} and \textit{M. A. Mandell}, Trans. Am. Math. Soc. 376, No. 4, 2853--2874 (2023; Zbl 07662359) Full Text: DOI arXiv
Blumberg, Andrew J.; Hill, Michael A.; Mandell, Michael A. Norms for compact Lie groups in equivariant stable homotopy theory. arXiv:2212.11404 Preprint, arXiv:2212.11404 [math.AT] (2022). MSC: 55P91 19D55 16E40 BibTeX Cite \textit{A. J. Blumberg} et al., ``Norms for compact Lie groups in equivariant stable homotopy theory'', Preprint, arXiv:2212.11404 [math.AT] (2022) Full Text: arXiv OA License
Blumberg, Andrew J.; Mandell, Michael A. Localization for \(THH(ku)\) and the topological Hochschild and cyclic homology of Waldhausen categories. (English) Zbl 1441.19001 Memoirs of the American Mathematical Society 1286. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4178-4/pbk; 978-1-4704-6140-9/ebook). v, 113 p. (2020). Reviewer: Steffen Sagave (Nijmegen) MSC: 19-02 19D55 55P43 19L41 19D10 PDFBibTeX XMLCite \textit{A. J. Blumberg} and \textit{M. A. Mandell}, Localization for \(THH(ku)\) and the topological Hochschild and cyclic homology of Waldhausen categories. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1441.19001) Full Text: DOI arXiv
Blumberg, Andrew J.; Mandell, Michael A. \(E_2\) structures and derived Koszul duality in string topology. (English) Zbl 1426.55011 Algebr. Geom. Topol. 19, No. 1, 239-279 (2019). Reviewer: Katsuhiko Kuribayashi (Nagano) MSC: 55P50 16D90 16E40 PDFBibTeX XMLCite \textit{A. J. Blumberg} and \textit{M. A. Mandell}, Algebr. Geom. Topol. 19, No. 1, 239--279 (2019; Zbl 1426.55011) Full Text: DOI arXiv
Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler; Mandell, Michael A. Topological cyclic homology via the norm. (English) Zbl 1417.55015 Doc. Math. 23, 2101-2163 (2018). Reviewer: Katsuhiko Kuribayashi (Nagano) MSC: 55P91 19D55 16E40 PDFBibTeX XMLCite \textit{V. Angeltveit} et al., Doc. Math. 23, 2101--2163 (2018; Zbl 1417.55015) Full Text: DOI arXiv
Blumberg, Andrew J.; Mandell, Michael A. The strong Künneth theorem for topological periodic cyclic homology. arXiv:1706.06846 Preprint, arXiv:1706.06846 [math.KT] (2017). MSC: 19D55 BibTeX Cite \textit{A. J. Blumberg} and \textit{M. A. Mandell}, ``The strong K\"unneth theorem for topological periodic cyclic homology'', Preprint, arXiv:1706.06846 [math.KT] (2017) Full Text: arXiv OA License
Blumberg, Andrew J.; Gepner, David; Tabuada, Gonçalo \(K\)-theory of endomorphisms via noncommutative motives. (English) Zbl 1375.19006 Trans. Am. Math. Soc. 368, No. 2, 1435-1465 (2016). MSC: 19D10 19D25 19D55 18D20 55N15 PDFBibTeX XMLCite \textit{A. J. Blumberg} et al., Trans. Am. Math. Soc. 368, No. 2, 1435--1465 (2016; Zbl 1375.19006) Full Text: DOI arXiv
Blumberg, Andrew J.; Mandell, Michael A. The homotopy theory of cyclotomic spectra. (English) Zbl 1332.19003 Geom. Topol. 19, No. 6, 3105-3147 (2015). Reviewer: Haruo Minami (Nara) MSC: 19D55 18G55 55Q91 PDFBibTeX XMLCite \textit{A. J. Blumberg} and \textit{M. A. Mandell}, Geom. Topol. 19, No. 6, 3105--3147 (2015; Zbl 1332.19003) Full Text: DOI arXiv
Blumberg, Andrew J.; Gepner, David; Tabuada, Gonçalo Uniqueness of the multiplicative cyclotomic trace. (English) Zbl 1297.19002 Adv. Math. 260, 191-232 (2014). Reviewer: Daniel Juan Pineda (Michoacan) MSC: 19D10 19D25 19D55 18D20 55N15 PDFBibTeX XMLCite \textit{A. J. Blumberg} et al., Adv. Math. 260, 191--232 (2014; Zbl 1297.19002) Full Text: DOI arXiv
Blumberg, Andrew J.; Gepner, David; Tabuada, Gonçalo A universal characterization of higher algebraic \(K\)-theory. (English) Zbl 1267.19001 Geom. Topol. 17, No. 2, 733-838 (2013). MSC: 19D10 18D20 19D25 19D55 55N15 18F25 19E08 PDFBibTeX XMLCite \textit{A. J. Blumberg} et al., Geom. Topol. 17, No. 2, 733--838 (2013; Zbl 1267.19001) Full Text: DOI arXiv
Blumberg, Andrew J.; Mandell, Michael A. Localization theorems in topological Hochschild homology and topological cyclic homology. (English) Zbl 1282.19004 Geom. Topol. 16, No. 2, 1053-1120 (2012). Reviewer: Jeremiah Heller (Wuppertal) MSC: 19D55 14F43 PDFBibTeX XMLCite \textit{A. J. Blumberg} and \textit{M. A. Mandell}, Geom. Topol. 16, No. 2, 1053--1120 (2012; Zbl 1282.19004) Full Text: DOI arXiv
Blumberg, Andrew J. Topological Hochschild homology of Thom spectra which are \(E_{\infty }\)-ring spectra. (English) Zbl 1214.19003 J. Topol. 3, No. 3, 535-560 (2010). Reviewer: Julia Bergner (Riverside) MSC: 19D55 18G55 55P43 PDFBibTeX XMLCite \textit{A. J. Blumberg}, J. Topol. 3, No. 3, 535--560 (2010; Zbl 1214.19003) Full Text: DOI arXiv
Blumberg, Andrew J.; Cohen, Ralph L.; Schlichtkrull, Christian Topological Hochschild homology of Thom spectra and the free loop space. (English) Zbl 1219.19006 Geom. Topol. 14, No. 2, 1165-1242 (2010). Reviewer: Jerry M. Lodder (Las Cruces) MSC: 19D55 55N20 55P43 PDFBibTeX XMLCite \textit{A. J. Blumberg} et al., Geom. Topol. 14, No. 2, 1165--1242 (2010; Zbl 1219.19006) Full Text: DOI arXiv